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Question

Find the integral of the given function w.r.t x

y=sin(8x)+x


A

cos 8x8+x22+c

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B

8 cos 8x8+1+c

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C

cos 8x8+x22+c

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D

cos 8x8+1+c

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Solution

The correct option is A

cos 8x8+x22+c


(sin(8x)+x)dx=sin(8x)dx+(x)dx

8x = t

8dx = dt

dx = dt8

sin t dt8+x22+c1 (xndx=xn+1n+1)+c

cos t8+co+x22+c (sin t dt=cos t)

cos 8x8+x22+c (c=c0+c1)


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